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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=-11/3, b>=a > For fixed z and a=-11/3, b=2/3





http://functions.wolfram.com/07.23.03.5741.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 2/3, 5/2, z] == (1/(1339975 z^(3/2))) (27 ((1/Sqrt[1 - z]) (Sqrt[z] (2816 + 24389 z - 51101 z^2 + 35320 z^3 - 13664 z^4 + 2240 z^5) Cos[ArcSin[Sqrt[z]]/3]) + (-8448 + 73216 z - 37865 z^2 + 29328 z^3 - 12544 z^4 + 2240 z^5) Sin[ArcSin[Sqrt[z]]/3]))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02